Abstract

OCHOA CASTILLO, Carlos Orlando  and  FORERO VEGA, Laura Victoria. Hauddsorf Metric in the Fuzzy Environment. ing. [online]. 2016, vol.21, n.3, pp.346-359. ISSN 0121-750X.  https://doi.org/10.14483/udistrital.jour.reving.2016.3.a06.

Context: Intuitively, the concept the set has been established as a collection of different elements, that is, a set is determined via the relationship of membership of an element of a universe as a whole. The situation, of course, is whether or does not belong; in a diffuse to each element subset of the universe it is associated with a degree of membership, which is a number between 0 and 1. The fuzzy subsets are established as a correspondence between each element of the universe and a degree of membership. Method: The study was based on previous work as articles or books, where authors present ideas about the importance of fuzzy subsets and the need to create with them new theories and spaces. Results: By combining two theories, a new study environment that allows state that corresponds Hausdorff distance, extends and adjusts the notion of distance between nonempty compact subsets in the environment of metrics spaces, more accurately generated in . Conclusions: The construction carried out allows a metric space with several qualities, where we can say that are the object consequence initial study.

Keywords : Compact sets; fuzzy sets; Hausdorff metric.

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